| bibtype |
J -
Journal Article
|
| ARLID |
0566662 |
| utime |
20240903190028.2 |
| mtime |
20230110235959.9 |
| SCOPUS |
85143582510 |
| WOS |
000896227200001 |
| DOI |
10.3390/math10234412 |
| title
(primary) (eng) |
Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys |
| specification |
| page_count |
17 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0453601 |
| ISSN |
2227-7390 |
| title
|
Mathematics |
| volume_id |
10 |
| publisher |
|
|
| keyword |
vectorized FEM implementation |
| keyword |
incremental minimization principle |
| keyword |
dissipative solids |
| keyword |
shape memory alloys |
| author
(primary) |
| ARLID |
cav_un_auth*0255186 |
| name1 |
Frost |
| name2 |
Miroslav |
| institution |
UT-L |
| full_dept (cz) |
D 5 - Ultrazvukové metody |
| full_dept (eng) |
D 5 - Ultrasonic Methods |
| full_dept |
D5 – Ultrasonic Methods |
| country |
CZ |
| fullinstit |
Ústav termomechaniky AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GA22-20181S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0435651 |
|
| project |
| project_id |
LTAUSA18199 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0371955 |
|
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
The incremental energy minimization principle provides a compact variational formulation for evolutionary boundary problems based on constitutive models of rate-independent dissipative solids. In this work, we develop and implement a versatile computational tool for the resolution of these problems via the finite element method (FEM). The implementation is coded in the MATLAB programming language and benefits from vector operations, allowing all local energy contributions to be evaluated over all degrees of freedom at once. The monolithic solution scheme combined with gradient-based optimization methods is applied to the inherently nonlinear, non-smooth convex minimization problem. An advanced constitutive model for shape memory alloys, which features a strongly coupled rate-independent dissipation function and several constraints on internal variables, is implemented as a benchmark example. Numerical simulations demonstrate the capabilities of the computational tool, which is suited for the rapid development and testing of advanced constitutive laws of rate-independent dissipative solids. |
| result_subspec |
WOS |
| RIV |
JG |
| FORD0 |
20000 |
| FORD1 |
20300 |
| FORD2 |
20302 |
| reportyear |
2023 |
| num_of_auth |
2 |
| mrcbC47 |
UTIA-B 10000 10100 10102 |
| mrcbC52 |
4 A 4a 20231122151103.0 |
| mrcbC55 |
UTIA-B BD |
| inst_support |
RVO:61388998 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0338138 |
| confidential |
S |
| article_num |
4412 |
| mrcbC86 |
n.a. Article Mathematics |
| mrcbC91 |
A |
| mrcbT16-e |
MATHEMATICS |
| mrcbT16-j |
0.369 |
| mrcbT16-s |
0.446 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q3 |
| arlyear |
2022 |
| mrcbTft |
\nSoubory v repozitáři: 0566662_Vectorized MATLAB Implementation _Frost_Valdman_2022.pdf |
| mrcbU14 |
85143582510 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000896227200001 WOS |
| mrcbU56 |
pdf |
| mrcbU63 |
cav_un_epca*0453601 Mathematics 2227-7390 2227-7390 Roč. 10 č. 23 2022 MDPI ONLINE |
|